List questions from homological-algebra

Published on 06 Apr 2020 - 9:40

51

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limits and colimits in simplicial rings

Published on 06 Apr 2020 - 11:32

80

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Baer sum and endomorphisms

Published on 06 Apr 2020 - 17:12

99

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Injective map between cokers

Published on 25 Mar 2026 - 5:59

53

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Compatible splitting of sub-exact sequence

Published on 27 Mar 2026 - 8:38

38

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Describe the map $\text{Tor}_1^R (k,k)\otimes \text{Tor}_1^R(k,k)\to\text{Tor}_2^R(k,k)$.

Published on 08 Apr 2020 - 2:22

244

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Functorial injective resolution out of functorial injective embedding

Published on 08 Apr 2020 - 12:07

35

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Differential module

Published on 27 Mar 2026 - 7:11

332

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Problem 22.35 in "Modern Classical Homotopy Theory " by Jeffery Strom on pg.510.

Published on 25 Mar 2026 - 12:26

189

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Verify that $\langle\alpha \cup \beta, u\rangle = \langle\beta, \alpha \cap u\rangle.$

Published on 25 Mar 2026 - 12:23

41

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Exact couple arises from the classical approach of spectral sequences

Published on 25 Mar 2026 - 17:53

54

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Chain equivalence proof

Published on 11 Apr 2020 - 2:15

352

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Example for a functor which preserves direct sums but doesn't preserve split exact sequnces.

Published on 11 Apr 2020 - 9:16

385

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Left adjoint to dg-nerve?

Published on 03 Apr 2026 - 16:48

171

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Is there a functor $F$ preserving finite direct sums but not split exact sequences, for which $F\mathbb{Z}$ is free and finitely generated?

Published on 25 Mar 2026 - 23:58

List Question

Compute $\text{Tor}_i^R(k,\mathfrak{a}^n)$

limits and colimits in simplicial rings

Baer sum and endomorphisms

Injective map between cokers

Compatible splitting of sub-exact sequence

Describe the map $\text{Tor}_1^R (k,k)\otimes \text{Tor}_1^R(k,k)\to\text{Tor}_2^R(k,k)$.

Functorial injective resolution out of functorial injective embedding

Differential module

Problem 22.35 in "Modern Classical Homotopy Theory " by Jeffery Strom on pg.510.

Verify that $\langle\alpha \cup \beta, u\rangle = \langle\beta, \alpha \cap u\rangle.$

Exact couple arises from the classical approach of spectral sequences

Chain equivalence proof

Example for a functor which preserves direct sums but doesn't preserve split exact sequnces.

Left adjoint to dg-nerve?

Is there a functor $F$ preserving finite direct sums but not split exact sequences, for which $F\mathbb{Z}$ is free and finitely generated?

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